For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74

Question

For solving each pair of equations, use the method of elimination by equating coefficients : 13x + 11y = 70 11x + 13y = 74

KnowledgeBoat · Accepted Answer

Given, equations : ⇒ 13x + 11y = 70 ..........(1) ⇒ 11x + 13y = 74 ..........(2) Multiplying equation (1) by 11, we get : ⇒ 11(13x + 11y) = 11 × 70 ⇒ 143x + 121y = 770 ........(3) Multiplying equation (2) by 13, we get : ⇒ 13(11x + 13y) = 13 × 74 ⇒ 143x + 169y = 962 ........(4) Subtracting equation (3) from (4), we get : ⇒ 143x + 169y - (143x + 121y) = 962 - 770 ⇒ 143x - 143x + 169y - 121y = 192 ⇒ 48y = 192 ⇒ y = = 4 Substituting value of y in equation (1), we get : ⇒ 13x + 11(4) = 70 ⇒ 13x + 44 = 70 ⇒ 13x = 70 - 44 ⇒ 13x = 26 ⇒ x = = 2. Hence, x = 2 and y = 4.

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74

Linear Equations

Related Questions

For solving each pair of equations, use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147

If 2x + y = 23 and 4x - y = 19; find the values of x - 3y and 5y - 2x.

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients :13x + 11y = 7011x + 13y = 74

Linear Equations

Related Questions

For solving each pair of equations, use the method of elimination by equating coefficients :41x + 53y = 13553x + 41y = 147

If 2x + y = 23 and 4x - y = 19; find the values of x - 3y and 5y - 2x.

For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74

For solving each pair of equations, use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147